Question

A researcher measures the relationship between Internet use (hours per week) and social interaction (hours per week) in a sample of 10 students. The following table lists the hypothetical results of this study. Internet Use X = 6 8 5 6 13 5 4 5 3 10 Social Interaction Y= 4 5 7 7 4 7 2 6 9 4

(a) Compute the Pearson correlation coefficient. (Round your answer to three decimal places.)

(b) Compute the coefficient of determination. (Round your answer to three decimal places.)

(c) Using a two-tailed test at a 0.05 level of significance, state the decision to retain or reject the null hypothesis. Retain the null hypothesis?

Reject the null hypothesis?

Answer 1

(a) Compute the Pearson correlation coefficient. (Round your answer to three decimal places.)

-0.435

(b) Compute the coefficient of determination. (Round your answer to three decimal places.)

0.189

(c) Using a two-tailed test at a 0.05 level of significance, state the decision to retain or reject the null hypothesis.

Retain the null hypothesis.

X	Y
6	4
8	5
5	7
6	7
13	4
5	7
4	2
5	6
3	9
10	4
	r²	0.189
	r	-0.435
	Std. Error	1.976
	n	10
	k	1
	Dep. Var.	Y
ANOVA table
Source	SS	df	MS	F	p-value
Regression	7.2758	1	7.2758	1.86	.2093
Residual	31.2242	8	3.9030
Total	38.5000	9
Regression output				confidence interval
variables	coefficients	std. error	t (df=8)	p-value	95% lower	95% upper
Intercept	7.4303
X	-0.2970	0.2175	-1.365	.2093	-0.7985	0.2046

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